| 亚纯函数的正规族与分担集 |
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| 引用本文： | 罗杏. 亚纯函数的正规族与分担集[J]. 纺织高校基础科学学报, 2013, 0(1): 21-25 |
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| 作者姓名： | 罗杏 |
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| 作者单位： | 福建师范大学数学与计算机科学学院 |
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| 基金项目： | 福建省自然科学基金资助项目(2011J01006) |
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| 摘 要： | 应用Zalcman-Pang引理，研究了涉及分担集的亚纯函数正规族，所得定理推广了林国斌与陈俊凡的结果．设F为区域D内的一族亚纯函数，h为有穷正数，k为正整数，S={b1，b2}，其中b1，b2是2个互异有穷复数，若Vf∈F，f-bi（i=1，2）的零点重级至少为k，且满足（1）f和L（f）分担集合S，（2）当L（f）（z）∈S时，f^（k＋1）（z）≠0且L′（f）（z）｜≤h，则F在区域D内正规．
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| 关 键 词： | 亚纯函数 分担集合 正规族 |
Normality and shared set of meromorphic functions |
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| LUO Xing. Normality and shared set of meromorphic functions[J]. Basic Sciences Journal of Textile Universities, 2013, 0(1): 21-25 |
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| Authors: | LUO Xing |
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| Affiliation: | LUO Xing(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China) |
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| Abstract: | By using Zalcman-Pang Lemma, the normal family of mreomorphic functions concerning share set was studied. Moreover, the result extends those obtained by Lin and Chen. Let F be a family of meromorphic functions in a domain D,let h be a positive number,let k be a positive integer,let S= {b1 ,b2 } where b1 and b2 are two distinct finite complex numbers. If,for every f∈F,all zeros of f-bi are of multiplicity at least k for i=1,2,f and L（f） share the set S ,f^（k＋1） （z）≠0 and ｜L′（f）（z） ｜ ≤h when L（f）（z）∈ S, then F is normal in D. |
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| Keywords: | meromorphic function shared set normal family |
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